展开 (0.1x-0.2y)^3

解答

展开

(0.1 x - 0.2 y)^{3}

0.001 x^{3} - 0.006 x^{2} y + 0.012 x y^{2} - 0.008 y^{3}

求解步骤

(0.1 x - 0.2 y)^{3}

使用完全立方公式:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(0.1 x - 0.2 y)^{3} = (0.1 x)^{3} - 3 (0.1 x)^{2} \cdot 0.2 y + 3 \cdot 0.1 x (0.2 y)^{2} - (0.2 y)^{3}

= (0.1 x)^{3} - 3 (0.1 x)^{2} \cdot 0.2 y + 3 \cdot 0.1 x (0.2 y)^{2} - (0.2 y)^{3}

化简

(0.1 x)^{3} - 3 (0.1 x)^{2} \cdot 0.2 y + 3 \cdot 0.1 x (0.2 y)^{2} - (0.2 y)^{3} : 0.001 x^{3} - 0.006 x^{2} y + 0.012 x y^{2} - 0.008 y^{3}

= 0.001 x^{3} - 0.006 x^{2} y + 0.012 x y^{2} - 0.008 y^{3}

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